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Finding the Fourth Proportional to 219.72, 328.34 and 179.18

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Solution

The fourth proportional to 219.72, 328.34 and 179.18 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.72 : 328.34 = 179.18 : x
  2. Step 2: Convert to fraction form
    219.72/328.34 = 179.18/x
  3. Step 3: Cross multiply
    219.72x = 328.34 × 179.18
  4. Step 4: Simplify right side
    219.72x = 58,831.96
  5. Step 5: Solve for x
    x = 58,831.96/219.72
  6. Step 6: Final answer
    x = 267.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.